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Finding the Fourth Proportional to 10,411.12, 15,622.62 and 3,836.44

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Solution

The fourth proportional to 10,411.12, 15,622.62 and 3,836.44 is: 5,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.12 : 15,622.62 = 3,836.44 : x
  2. Step 2: Convert to fraction form
    10,411.12/15,622.62 = 3,836.44/x
  3. Step 3: Cross multiply
    10,411.12x = 15,622.62 × 3,836.44
  4. Step 4: Simplify right side
    10,411.12x = 59,935,244.27
  5. Step 5: Solve for x
    x = 59,935,244.27/10,411.12
  6. Step 6: Final answer
    x = 5,756.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.